采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: TKrh3
%Display the Zernike function Z(n=5,m=1) g3kF&+2i
clc M2rgB%W)m
clear 2>h.K/pC
a=5;%%%%%%%%%%Z的阶数下标 R6E.C!EI
b=1;%%%%%%%%%%Z的阶数的上标 dZ{yNh.]
x = -1:0.01:1; j7v?NY
[X,Y] = meshgrid(x,x); G21cJi*
[theta,r] = cart2pol(X,Y); {i| $^A3
idx = r<=1; <69Uq8GI
z = nan(size(X)); .TKKjS%8
z(idx) = zernfun(a,b,r(idx),theta(idx)); @ZtDjxN
&
figure(1) 7!jbID~
pcolor(x,x,z), shading interp X.FFBKjf[e
axis square, colorbar !fK9YW(Im
xlabel('X'); 3!2TE -
ylabel('Y'); [fl^1!3{
title(['Zernike function Z^a_b','(r,\theta)']) U9%#(T$
figure(2) HWxwG'EEY,
mesh(x,x,z) 5|Hz$oU
xlabel('X'); y)D7!s
ylabel('Y'); ^gd[U C-"w
title(['Zernike function Z^a_b','(r,\theta)'])